Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 15, 2018; final manuscript received July 25, 2018; published online October 16, 2018. Assoc. Editor: Izhak Bucher.

In this paper, transfer function of rotating shaft system for detecting transverse open crack is developed. Rotating shaft system is modeled using one-dimensional finite element method (1D-FEM), and quantitative analysis is performed. Open crack is modeled as weak asymmetry rotating with shaft's rotation. It is known that, when both open crack and support stiffness anisotropy coexist, various frequency components of shaft's vibration are generated through their successive interaction. This paper evaluates the order of these components, and concludes that first five main components are enough to investigate interaction of open crack and support stiffness anisotropy. Then, five sets of transfer functions for these components are derived. The validity of this set of transfer functions is confirmed by numerical simulation. Moreover, excitation experiment utilizing active magnetic bearing (AMB) is performed, and the validity of derived transfer function was verified experimentally.

Comparison between experimental and theoretical results: (a) transfer function H12(disk) in the case with normal rotating shaft with anisotropic bearing support and (b) transfer function H13(disk) in the case with cracked rotating shaft with anisotropic bearing support

Transfer function H11(disk) between excitation with angular frequency Ω applied for disk and whirling motion of disk in case of normal rotating shaft system with isotropic support stiffness (ω=1000 rpm)

Return to: Finite Element Analysis and Experimental Validation of Transfer Function of Rotating Shaft System With Both an Open Crack and Anisotropic Support Stiffness

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